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katrin [286]
4 years ago
9

-1 + 3x< 14 solve the equality

Mathematics
1 answer:
Vaselesa [24]4 years ago
7 0

Answer:

x = 5

Step-by-step explanation:

add positive one to both -1 and 14

divide each side by 3

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Please help!! 10 points.
TiliK225 [7]

Answer:

\boxed{ \text{1. 59.44 in}^{2} \text{;  2. 352.7 in}^{2} \text{; 3. 471.6 in}^{2}}

Step-by-step explanation:

1. Area of base

The radius given is that of the circumcircle.

The general formula for the edge length a  of a regular polygon is

a = 2Rsin(π/n)

So,

a = 2 × 5 × sin(π/5) = 10sin0.6283 = 10 × 0.5878 = 5.878 in

The general formula for the area of a regular polygon is

A = ¼na²cot(π/n)

So,

A = ¼ × 5 × 5.878²cot(π/5) = ¼ × 5 × 5.878² × 1.376 = 59.44 in²

2. Lateral area

The general formula for the lateral area L of regular prism is

L = nah

So,

L = 5 × 5.878 × 12 = 352.7 in²

3. Total area

Total surface area = lateral area + 2×base area

S = L + 2B = 352.7 + 2 × 59.44 = 471.6 in²

\boxed{ \text{B = 59.44 in}^{2} \text{; L = 352.7 in}^{2} \text{; S = 471.6 in}^{2}}

3 0
4 years ago
A water tank is in the shape of a right circular cylinder with a height of 20 feet and a volume of 320π cubic feet. What is the
babymother [125]
The formula for volume of a cylinder is  V=π r^2 h.
So plug in,
320π=<span>π r^2 20
solve (sadmep (opposite of pemdas))
divide pi out
320=r^2 20
divide 20 out
16=r^2
square root of 16 is 4, so the radius is 4. 
Since the 2r=d, the diameter is 8.
P.s. lol it thought I was copying an answer from online...





</span>
7 0
3 years ago
What is the value of 3A+6|C|<br><br> A. 63<br> B. 27<br> C. -63<br> D. 9
Gnom [1K]

Answer:

3×(-9)+6+(-6)

(-27)+6+(-6)

-27

7 0
4 years ago
___________ is the number of times you expect a particular outcome based on its theoretical probability.
aliya0001 [1]

Your answer is B.

<h3><u>What are expected outcomes?</u></h3>

Expected outcomes are forecasted results. Think of expected outcomes as your program’s hoped-for results for children, families, and the community. Frame your outcomes to answer this question: "What results do we want?" Expected outcomes relate directly to program goals and objectives.

Yw and pls mark me brainiest, and I sure hope this helps you

3 0
2 years ago
Why is 640 divided by 80 equal to 64 divided by 8?
Sedaia [141]
Because by dividing both equations you get an answer of 8 for both
5 0
4 years ago
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